7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Two years of high school algebra and one year of geometry or Math. A, B, and D or equivalent with grades of "C" or better, or placement by matriculation assessment process

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

9b. Catalog Description:

Math topics which allow students to explore mathematical patterns and relations, formulate conjectures based on their explorations, and learn how to prove (or disprove) their conjectures. Included will be different problem solving techniques, number theory, operations with sets, sequences and series, and geometry. Course intended for Liberal Studies transfers to California State University, Sacramento. (CAN MATH 2)

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

Students will be able to demonstrate the below outcomes on exams, on
homework or in oral reports/discussion in class:
1. utilize problem solving techniques on a variety of problems;
2. during class time, discuss the solution of a problem with a group
and delineate the logic of the solution;
3. on homework and exams, write up the solution to an open-ended
question and delineate the math and the logic in the solution;
4. in class time discussion, find the flaws and/or mistakes in the
solution of a problem; discuss how to correct these flaws or mistakes;
5. determine the entries in a sequence by following the pattern in a
sequence;
6. apply Geometry formulas in solving open-ended questions;
7. utilize drawings, diagrams and tables in problem solution
write-ups and on exam questions;
8. use probablity to determine which choice for a solution is the
more appropriate;
9. apply the use of Venn Diagrams to determine the number of elements
in intersections and unions of sets;
10. apply counting techniques, such as combinations and permutations,
to determine probabilities;
11. demonstrate the properties of number systems;
12. develop a strategy for attacking problems with which they are
unfamiliar; and
13. demonstrate their gained ease with math by trying problems that
they would have considered too hard prior to taking the class.

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

Concepts of Mathematics is a course designed to encourage critical
thinking skills of students. The questions asked and worked on in the
course work are open ended. The course outline delineates some of the
topics that are used to generate these open-ended questions.
I. Number Theory, Greatest Common Divisor, Euclidean Logarithm,
Primes
A. Potato Balancing, jug problems, stamp problems
II. Problem Solving Techniques
A. Looking for patterns, using smaller numbers
B. Making tables or graphs
III. Sets
A. Venn diagrams, subsets, complements
B. Union, intersections
IV. Probability
A. Buffon needle (noodle) problem
B. Finding theoretical probabilities using various counting
and combinatoric techniques
C. Expected value and fair game problems
V. Geometry
A. Highway inspector and related problems, shortest path
problems, applications of graphs
VI. Sequences and Series
A. Handshake, pizza cutting, sidewalk dividing problems

12. Typical Assignments: (Credit courses require two hours of independent work outside of class per unit of credit for each lecture hour. List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G